Applied Mathematics
Syllabus, Master's level, 1MA148
- Code
- 1MA148
- Education cycle
- Second cycle
- Main field(s) of study and in-depth level
- Mathematics A1N
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 18 March 2010
- Responsible department
- Department of Mathematics
Entry requirements
120 credits including at least 60 credits Mathematics
Learning outcomes
The course aims at giving an introduction to the exciting borderland between mathematics and applied areas of heavy computations by presenting a number of important methods and techniques in applied mathematics. In order to pass the course (grade 3) the student should be able to
- give examples of a number of important such methods and techniques, and describe some main types of applied problems where these methods can be used;
- formulate applied problems that are susceptible to using the techniques presented during the course mathematically in such a way that the techniques are applicable;
- solve standard problems within the areas covered by the course.
Content
The course gives an introduction to a number of modern methods and techniques in applied mathematics via examples from applied areas. The course consists of five items chosen among the following ten:
- dimension analysis and scaling;
- perturbation methods;
- calculus of variation;
- elementary partial differential equations:
- Sturm-Liouville theory and associated theory for generalised Fourier series and Fourier's method;
- theory of transforms;
- Hamiltonian theory and isoperimetric problems;
- integral equations;
- dynamical systems (chaos, stability and bifurcations);
- discrete mathematics.
All ten items cannot be guaranteed every academic year.
Instruction
Lectures and problem solving sessions.
Assessment
Written and, possibly, oral examination at the end of the course. Moreover, compulsory assignments may be given during the course.
Reading list
- Reading list valid from Autumn 2023
- Reading list valid from Autumn 2022
- Reading list valid from Autumn 2020
- Reading list valid from Spring 2019
- Reading list valid from Autumn 2018
- Reading list valid from Spring 2015
- Reading list valid from Spring 2013
- Reading list valid from Autumn 2012
- Reading list valid from Autumn 2010, version 2
- Reading list valid from Autumn 2010, version 1